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math.CO2022
Positive-Definite Matrices over Finite Fields
Joshua Cooper, Erin Hanna, Hays Whitlatch
The study of positive-definite matrices has focused on Hermitian matrices, that is, square matrices with complex (or real) entries that are equal to their own conjugate transposes.…
math.CO2022
Counting Power Domination Sets in Complete m-ary Trees
Sviatlana Kniahnitskaya, Michele Ortiz, Olivia Ramirez +2
Motivated by the question of computing the probability of successful power domination by placing k monitors uniformly at random, in this paper we give a recursive formula to count…